Create a table showing the price of each penny when copper cost between $1.00 and $4.00 per pound. (Calculate points in 10 cent increments of copper.

The polynomial representing the area of the is 49n² - 25

The formula for area of a square is expressed as;

Area = a²

Where a is the side length

From the image shown, we can see that the side length takes the value (7n - 5)

Substitute the value into the formula

Area = a²

Area = (7n - 5)²

Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares

Expand the bracket

Area = 49n² + 35n - 35n - 25

collect like terms

Area = 49n² - 25

Thus, the polynomial representing the area of the cube is 49n² - 25

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer: The answer is n>-5

Step-by-step explanation:

For the second step, it’s a minus 1

A continuous function is a mathematical function that has no abrupt changes or interruptions in its graph, meaning it can be drawn without lifting the pen from the paper. To find the decay constant, r, for this continuous function, we can use the formula:

A(t) = A₀ * e^(-rt)

Where:

A(t) is the amount of medication remaining after time t
A₀ is the initial dosage
e is the base of the natural logarithm (approximately 2.71828)
r is the decay constant

Given that the initial dosage is 78 mg and after 3 hours, 48 mg still remains, we can substitute these values into the formula:
48 = 78 * e^(-3r)

Next, we can solve for the decay constant, r. Divide both sides of the equation by 78:
48/78 = e^(-3r)
0.6154 = e^(-3r)

Now, take the natural logarithm of both sides to isolate the exponent:
ln(0.6154) = -3r

Finally, solve for r by dividing both sides by -3:
r = ln(0.6154) / -3

Using a calculator, we find that r ≈ -0.1925.

To find the half-life, h, of the medication, we use the formula:
h = ln(2) / r

Substituting the value of r we just found:
h = ln(2) / -0.1925

Using a calculator, we find that h ≈ 3.6048 hours.

Therefore, the decay constant, r, is approximately -0.1925, and the half-life, h, of the medication is approximately 3.6048 hours.

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Answer:

1. 3(x-4)-9= 3

  3x-12-9=3

  3x-21=3

  3x=24

  x=8

2. x=6

3. x=8

4. x=2

Answer:

Miscellaneous

Step-by-step explanation:

1. Distribute and simplify to get: 3x-12-9 = -3

Then combine like terms to get 3x-21 = -3

Add 21 on both side sto get 3x = 18

divide 3 on both sides to get x=6

2. x+5 = 11

Subtract 5 from both sides to get x = 6

3. 2x-3 = 13

Add 3 to both sides to get 2x = 16

Divide 2 from both sides to get x =8

4. 4(x+2) = 16

Distribute to get 4x+8 = 16

Subtract 8 from both sides to get 4x = 8

Divide 4 from both sides to get x=2

Answer:

Month:

1             = 32$

2            =  64$

3            = 96$

4            = 128$

Step-by-step explanation:

Answer:

Not sure what you're equation is but this is how you would convert to slope intercept form:

Step-by-step explanation:

y=mx+b is slope intercept form where m is the slope and b is the y intercept. the x is just x so don't change that. graphing your equation might help you to convert. Hope this helps if I had the equation it would help more. :)

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

Answer: 170 to 160

Step-by-step explanation:

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

Answer:

The first one is B

Step-by-step explanation:

if you count how many faces or sides it has its 5

Answer:

1. B

2. D

3. D

4. A

5. C

REMEMBER TO DOUBLE-CHECK JUST IN CASE.

Answer:

Lily is 20 years old.

Step-by-step explanation:

6 × 19 = 114

( 114 - 17 - 18 - 19 ) ÷ 3

= 60 ÷ 3

= 20

Answer:

7 students got an F

Step-by-step explanation:

Take 12% and multiply by 60 students

12% * 60

Change to decimal form

.12 * 60

7.2 students

Round to the nearest student

7 students got an F

The increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

a. Suppose we have a two-sided confidence interval for the population mean with known variance, given by the equation:

Cl is the confidence interval, x is the sample mean, σ is the population standard deviation, n is the sample size, and zα/2 is the z-score corresponding to the desired level of confidence.

The σ are fixed for a given level of confidence, we can achieve this by increasing n by a factor of 4.

Specifically, if we increase the sample size from n to 4n, then the new confidence interval will have half the width of the original interval.

b. If the sample size is increased by a factor of 25, then the term √n in the denominator of the above equation will be replaced.

Therefore, increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

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Answer:

was there a list to choose from

Step-by-step explanation:

19, 26, 33, 40, 47

Answer:

B. |-6| < |-8|

Step-by-step explanation:

The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.

|-6| < |-8| = 6 < 8

( 6 is less than 8 )

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

40/9 or 4 4/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

If u means m^2 * m^3 = m^5

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

1. 9x³

2.5b³

3.2d

4. 68x³

9514 1404 393

Answer:

Step-by-step explanation:

Factoring out the greatest common factor in each case, we can simplify the process of finding the non-zero solution. The solutions are the values of the variable that make the factors be zero.

1) 7x^2 +2x = 0 = (x)(7x +2)   ⇒   x = 0; x = -2/7

__

2) 5b^2 -10b = 0 = (5b)(b -2)   ⇒   b = 0; b = 2

__

3) 3d^2 -d = 0 = d(3d -1)   ⇒   d = 0; d = 1/3

__

4) 17x^2 +51x = 0 = 17x(x +3)   ⇒   x = 0; x = -3

I guess that we know that the angle θ is in the fourth quadrant, and we know that:

cos(θ) = 9/19

now we want to find the value of sin(θ).

To do it, we can remember that for a point (x, y), such that we can define an angle β between the positive x-axis and a ray that connects the origin with the point (x, y), we can write the relations:

tan(β) = x/y

sin(β) = y/√(x^2 + y^2)

cos(β) = x/√(x^2 + y^2)

Because the angle is in the fourth quadrant, we know that:

x > 0

y < 0.

And we also know that:

cos(θ) = 9/19

then we have:

x = 9

√(x^2 + y^2) = √(9^2 + y^2) = √(81 + y^2) = 19

Solving the above equation we can find the value of y, that we need to remember, is negative:

√(81 + y^2) = 19

81 + y^2 = 19^2

y^2 = 19^2 - 81 = 280

y = √280 = -16.7

Now that we know the value of y, we can replace that in the sine equation to get:

sin(θ) = -16.7/19 = -0.879

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Answer: 560 mph

Step-by-step explanation:

Distance = rate*time

2,240 = rate*(4)

rate = 560mph

Answer:

10) 5

11) Scalene

Step-by-step explanation:

10) A regular hexagon has equal sides, so one side is just 30/6, which is 5 feet.

11) A scalene triangle has no two sides that are the same length, where an isosceles triangle has two sides the same, and an equilateral triangle has all sides the same length.  

Answer:

The length of the side along the river is 140 m

Step-by-step explanation:

Equations

To solve the problem, we need to recall the area of a trapezium is:

\(\displaystyle A=\frac{b1+b2}{2}.h\)

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

\(\displaystyle \frac{x+2x}{2}\cdot 100=10500\)

Simplifying:

\(\displaystyle (3x)\cdot 50=10500\)

\(150x=10500\)

Dividing by 150:

\(x = 10500 / 150 = 70\)

x = 70 m

2x = 140 m

The length of the side along the river is 140 m

Answer:

Lose the ability to cry because i dont cry that much

Step-by-step explanation:

Answer:

loose the ability to cry l m a o

Step-by-step explanation:

Answer:

Maude

Step-by-step explanation:

Maude's collection has 5 heavy metal out of a total of 8 albums

Claude's collection has 7 heavy metal out of a total of 12 albums

if you divide 5 by 8 you get .625, which is the same as 62.5%

if you divide 7 by 12 you get .583, which is the same as 58.3%

62.5% is greater than 58.3%

Answer: Grandma

Step-by-step explanation:

His grandmother because the chance a heavy metal album comes on is 5 times out of 8 while his grandfather is 7 times out of 12. For a better representation grandma is 15/24 while grandpa is 14/24.